Characterizing Bell non-locality using tensor network formalism

Abstract

In quantum mechanics, the classical tenet that the degrees of freedom are independent of the act of their measurement, is no longer valid. The experimental footprint of quantum mechanics is the Bell inequalities violation, highlighting Bell non-locality. Alas, the computational cost of proving Bell non-locality scales exponentially with the system size, making it a formidable challenge to prove. Here we present a different approach to prove and validate Bell non-locality, by solving inverse Ising problems using tensor network formalism. We will show as examples of this validation a Bell-pair system and a Quantum Heisenberg Antiferromagnet (QHAF) in 1D